SOLUTION: 1/tan^2pie/8 - 1/sin^2pie/8 Evalulate

Question 1208308: 1/tan^2pie/8 - 1/sin^2pie/8
Evalulate
Found 2 solutions by mccravyedwin, ikleyn:
Answer by mccravyedwin(408)   (Show Source): You can put this solution on YOUR website!

I just did that. You posted the same problem twice. Edwin

Answer by ikleyn(52875)   (Show Source): You can put this solution on YOUR website!
.
1/tan^2pie/8 - 1/sin^2pie/8
Evaluate
~~~~~~~~~~~~~~~~~

        I will evaluate an expression    -   for arbitrary x =/= 0, +/-, +/-, . . .

We have } = . THEREFORE, - = - = . The numerator is , by Pythagoras. THEREFORE, the last fraction in the previous line is -1. ANSWER. The expression - is identically equal to -1 for all values of x different from 0, +/-, +/-, . . . In particular, - is -1.

Solved for much more general expression, in simplest possible way, in 3 lines with complete explanations.

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